HELP ASAP. 20 POINTS.
2 answers:
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These questions are all of the same type: division. They ask to find how many of a number can fit in another number.
As for question 5, there are 42 pounds of dog food, and pound of dog food is used for each feeding. To find the number of times Mr. Lash can feed his animals, divide 42 by
. The answer is 48.
Solving the rest of the questions by this method, here are the answers. If you wish you can do them yourself to verify your understanding.
6) 12
7) 4
8) 8
9) 2
Note: in question 9, the question is in reverse order compared to the other questions.
Answer:
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:
So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:
Simplify:
Solve for <em>k</em>. Subtract 3 from both sides:
Factor:
Zero Product Property:
Solve:
So, either of the two expressions:
Will yield 3 as the remainder.